Start by preheating your oven to 350°F (175°C). Prepare a 9-inch springform pan with nonstick spray and place a circle of parchment paper on the base.
For Cake:
In a large bowl, use an electric mixer to whisk together the eggs and sugar until the mixture lightens in color and becomes fluffy, approximately 2 minutes. Incorporate the softened butter, then add the milk and vanilla, blending to a smooth consistency.
In a separate bowl, combine the sifted flour, baking powder, and salt. Gradually incorporate this dry mix into the wet ingredients, stirring gently until just combined, being careful to eliminate flour lumps.
Transfer the batter into the prepared springform pan, smoothing the top. Spoon dollops of Nutella on top and use a skewer or a knife to create swirls throughout the batter for a marbled effect.
Set the cake on the middle rack of your oven and bake for 30 to 35 minutes. Check for doneness by inserting a toothpick into the center; it should come out clean or with a few crumbs attached.
Once done, let the cake cool in the pan on a wire rack for 15 minutes. Carefully release the springform collar and allow the cake to fully cool before slicing and serving.